Question

Convert 11.42424242 to a rational expression in the form of a/b , where b ≠ 0.

A 11 42/999
B 11 42/9999
C 11 42/99
D 11 99/42

Answer 1

Answer: C

Step-by-step explanation: I did the test

Answer 2

11.424242
isolate the repeating part
11+0.424242

focus on the repeating part
0.42424242
how many places till it repeats again?
2
let's say it is x
x=0.42424242
multiply by 100
100x=42.424242

subtract them
100x-x=42.42424242-0.42424242
the infinite repeats cancel and we get
99x=42
divide by 99

`x=(42)/(99)`



so

`11.\overline{42}=11 \space\ (42)/(99)`